Are we talking about future wars, or past? Either way, I shall answer both.
Past:
LN v RM - Some of the best action I had in the past.
KNF v BAF v GRN - 3 Way war, turned bad - Enjoyed RPing Kusari Exile though!
Wish HF v LN developed more, having HF Battleships vs Liberty Capitals was a sight to behold.
Future:
Ignore my poor lore knowledge, if I'm making silly conflicts - But.
DSE - Universal - Interspace Commerce ( I say "war" lightly ) All three of the corporations have been trying to one-up each other, for money ( If I remember ) And ALL of these factions have ties to some sort of dodgy dealings. USI - XA | IC - RHA/GC. Imagine if they went full-blown "Destroy their profits!" Liberty would have a full-blown Corporation war to deal with, whilst dealing with their own pirates - LR and LH.
Okay, now I said that... It's a full-blown pirate invasion funded by Liberty Companys. - Sounds stupid, yet interesting at the same time...
IMG seems to have developed into some sort of military power. Maybe they could stand against a weak Bretonia claiming their space as they went? And as their Ally (liberty) is dealing with their Pirate onslaught, they'd have to make a deal with RM for assistance.
With a wounded Bretonia, basically it's anyone's game? Hell! If Corsairs got peace with OC ( Doubt but, this is my imaginary Disco ) Corsairs could begin sending their fleets to Bretonia, expanding their empire!
Order to become more of a peacekeeper faction, ensuring any huge threats to the way of life in Sirius isn't altered. Could've helped with Gallia, could rage war with the Coalition ( Again.. I'm not so confident with the Coalitions lore so, don't cry at me)
Oh ! the Zoners, they need to get up off their arses, and being to wipe out Nomads left right and centre, while also causing Bretonia some beef as well.
All this is me being silly and stupid, but I dunno, if there was going to be more wars raged. I wouldn't mind seeing some of these come true.